Does 0.9 Repeater = 1?

2008-02-07 01:57:51

#1

tazz.: oz.; +1,338|6183|Sydney | ♥

Does 0.9 Repeater = 1?

I have the following to back it up....

1/3 = 0.3(repeater) correct? correct.

2/3 = 0.6(repeater) correct? correct.

3/3 = 0.9(repeater) correct? exactly.

As you can see i have followed a pattern, thus we know 3/3 = 1, but alas, why not 0.9(repeater)?

I also have this method to go by........

let x = 0.999999999.........(repeater)
thus 10x = 9.999999999.........(repeater)

So we can do the following.....

10x = 9.999999999.........(repeater) (subtract)
x = 0.999999999.........(repeater)

9x = 9.000000000

therefor 9x = 9

now. if we add a denominator to both sides, here being the number nine....

9x/9 = 9/9

we can cancel out the 9s in the left fraction, thus forming

x = 9/9

and hereby, we now that 9/9 = 1

THEREFORE

x = 1

----------------------------------------------------------

Last edited by tazz. (2008-02-07 02:00:09)

^{everything i write is a ramble and should not be taken seriously.... _{seriously. ♥}}

2008-02-07 01:59:45

#2

Varegg: Support fanatic :-); +2,206|6819|Nårvei

1/3 is not 0,3 so your statement fails, you can't divide 1 with 3 and not get a decimated number that will not multiply to 1 later ...

Wait behind the line ..............................................................

2008-02-07 02:01:17

#3

tazz.: oz.; +1,338|6183|Sydney | ♥

Varegg wrote:
1/3 is not 0,3 so your statement fails, you can't divide 1 with 3 and not get a decimated number that will not multiply to 1 later ...

exactly, thus the math world as we know it is falling, this still does not however, explain my second analogy.

^{everything i write is a ramble and should not be taken seriously.... _{seriously. ♥}}

2008-02-07 02:03:18

#4

Varegg: Support fanatic :-); +2,206|6819|Nårvei

tazz. wrote:
Varegg wrote:
1/3 is not 0,3 so your statement fails, you can't divide 1 with 3 and not get a decimated number that will not multiply to 1 later ...
exactly, thus the math world as we know it is falling, this still does not however, explain my second analogy.

Don't have to seeing as the same applies for both analogies - besides no advanced math deals with those calculations anyway, any reason why you brought this up

Wait behind the line ..............................................................

2008-02-07 02:04:51

#5

tazz.: oz.; +1,338|6183|Sydney | ♥

Varegg wrote:
tazz. wrote:
Varegg wrote:
1/3 is not 0,3 so your statement fails, you can't divide 1 with 3 and not get a decimated number that will not multiply to 1 later ...
exactly, thus the math world as we know it is falling, this still does not however, explain my second analogy.
Don't have to seeing as the same applies for both analogies - besides no advanced math deals with those calculations anyway, any reason why you brought this up

I have no life You talk about advance maths... this, i have used, in my advanced mathematics, quite alot.

^{everything i write is a ramble and should not be taken seriously.... _{seriously. ♥}}

2008-02-07 02:07:09

#6

some_random_panda: Flamesuit essential; +454|6399

Yes, 0.9999999999999999999999 does equal 1.

And yes, Tazz, this is hardly advanced maths, it just requires the method for finding the fractions of recurring decimals, which turns up the answer 0.9999999999999999999 = 1.

I learnt this two years ago.

Last edited by some_random_panda (2008-02-07 02:08:13)

2008-02-07 02:09:18

#7

Varegg: Support fanatic :-); +2,206|6819|Nårvei

tazz. wrote:
Varegg wrote:
tazz. wrote:

exactly, thus the math world as we know it is falling, this still does not however, explain my second analogy.
Don't have to seeing as the same applies for both analogies - besides no advanced math deals with those calculations anyway, any reason why you brought this up
I have no life You talk about advance maths... this, i have used, in my advanced mathematics, quite alot.

If so i'm certain you know the proper way to determine the correct repeater for 1/3= ? aka how to decimate an undecimated number like a prime and how to calculate a repeater so it does add up

Wait behind the line ..............................................................

2008-02-07 02:09:37

#8

psH: Banned; +217|6392|Sydney

thread has been completed

2008-02-07 03:14:20

#9

Nappy: Apprentice; +151|6238|NSW, Australia

therefore i am complete

2008-02-07 03:15:09

#10

djphetal: Go Ducks.; +346|6344|Oregon

some_random_panda wrote:
Yes, 0.9999999999999999999999 does equal 1.

And yes, Tazz, this is hardly advanced maths, it just requires the method for finding the fractions of recurring decimals, which turns up the answer 0.9999999999999999999 = 1.

I learnt this two years ago.

yes.

2008-02-07 03:19:48

#11

some_random_panda: Flamesuit essential; +454|6399

Nappy's post warranted a revive?

2008-02-07 06:10:34

#12

unnamednewbie13: Moderator; +2,053|6780|PNW

http://en.wikipedia.org/wiki/.999

I know, it bothered me too at first, but that's what the numbers give ya.

Of the elementary proofs, multiplying 0.333… = ¹⁄₃ by 3 is apparently a successful strategy for convincing reluctant students that 0.999… = 1.

Last edited by unnamednewbie13 (2008-02-07 06:15:03)

2008-02-07 14:54:23

#13

tazz.: oz.; +1,338|6183|Sydney | ♥

Varegg wrote:
tazz. wrote:
Varegg wrote:

Don't have to seeing as the same applies for both analogies - besides no advanced math deals with those calculations anyway, any reason why you brought this up
I have no life You talk about advance maths... this, i have used, in my advanced mathematics, quite alot.
If so i'm certain you know the proper way to determine the correct repeater for 1/3= ? aka how to decimate an undecimated number like a prime and how to calculate a repeater so it does add up

Well then, why is society as we know it accepting the fact that 1/3 is 0.3(repeated)

^{everything i write is a ramble and should not be taken seriously.... _{seriously. ♥}}

2008-02-07 15:09:26

#14

topal63: . . .; +533|6727

djphetal wrote:
some_random_panda wrote:
Yes, 0.9999999999999999999999 does equal 1.

And yes, Tazz, this is hardly advanced maths, it just requires the method for finding the fractions of recurring decimals, which turns up the answer 0.9999999999999999999 = 1.

I learnt this two years ago.
yes.

Yes, it does... I lied once to someone (in another thread) and said it didn't. But, it does.

2008-02-07 15:10:33

#15

Gamematt: Stocking ur medpacks; +135|6671|Groningen, The Netherlands

As soon as you go near infinite numbers math fails.

My math teacher told me a cool story once, lets see if I can reproduce it...:

It went something like, somewhere in the galaxy there is this train. And it has a infinite number of carriages.

Every carriage contains 1 person, the train is full. (small carriages)

The train rolls into a station and the driver asks everybody to look at their carriage number, multiply it by 2 and go sit in that particular carriage.

1 ---> 2
3 ---> 6
10 ---> 20
500 ---> 1000 etc...

-the train didn't get any longer
-nobody left the train

and still the train suddenly is half empty =0
all the uneven carriages are empty

/fail
the story sounds really dull like this

2008-02-07 18:13:46

#16

SenorToenails: Veritas et Scientia; +444|6139|North Tonawanda, NY

If you get a book on real analysis, and study it, you will find that .999.... is equal to 1. I don't have the proof handy, but it should be covered in any book on the subject.

2008-02-07 18:15:12

#17

SenorToenails: Veritas et Scientia; +444|6139|North Tonawanda, NY

Gamematt wrote:
As soon as you go near infinite numbers math fails.

My math teacher told me a cool story once, lets see if I can reproduce it...:

It went something like, somewhere in the galaxy there is this train. And it has a infinite number of carriages.

Every carriage contains 1 person, the train is full. (small carriages)

The train rolls into a station and the driver asks everybody to look at their carriage number, multiply it by 2 and go sit in that particular carriage.

1 ---> 2
3 ---> 6
10 ---> 20
500 ---> 1000 etc...

-the train didn't get any longer
-nobody left the train

and still the train suddenly is half empty =0
all the uneven carriages are empty

/fail
the story sounds really dull like this

Woohoo, countable infinity. Math does not break with numbers approaching infinity. It just get more complicated.

2008-02-07 18:25:28

#18

Vilham: Say wat!?; +580|6775|UK

Indeed it does. Btw REOCCURRING not repeater.

2008-02-07 18:26:34

#19

Ganko_06: Laughter with an S; +167|6653|Camoran's Paradise

tazz. wrote:
So we can do the following.....

10x = 9.999999999.........(repeater) (subtract)
x = 0.999999999.........(repeater)

9x = 9.000000000

Actually, that does not work. You didn't subtract, you multiplied.

9*x = 9x
9*0.999... = 8.999... not 9.000

Last edited by Ganko_06 (2008-02-07 19:35:49)

2008-02-07 18:40:54

#20

bf2gammer: Member; +14|6229

I have the following to back it up....

1/3 = 0.3(repeater) correct? correct.

2/3 = 0.6(repeater) correct? correct.

3/3 = 0.9(repeater) correct? exactly.

As you can see i have followed a pattern, thus we know 3/3 = 1, but alas, why not 0.9(repeater)?

tell me how 3/3 = .9999999999 (REPEATING)? 3 divided by 3 = 1 .. and how can .999999 repeating be 1 when .9999 repeating is .9999 repeating?

it cant be equal to 1 without doing something to the number. so what ur saying is 1 billion is equal to 1 million, just divide it by 100? no it is not equal

-------------------------------

and if you dont get what im trying to get at...

no matter what you do.. .999 repeating will not equal 1. in order for it to equal 1 you have to change the "NUMBER .999 repeating"

and what i mean by change it is, you have to subtract, multiply, divide, or add a number. whatever. to get it to equal 1

Last edited by bf2gammer (2008-02-07 18:46:19)

2008-02-07 18:50:06

#21

Vilham: Say wat!?; +580|6775|UK

Ganko_06 wrote:
tazz. wrote:
So we can do the following.....

10x = 9.999999999.........(repeater) (subtract)
x = 0.999999999.........(repeater)

9x = 9.000000000
Actually, that does not work. You didn't subtract, you multiplied.

9*x = 9x
9*9.999... = 8.999... not 9.000

Seriously... work on your maths... 9 * 9.999... does not equal 8.999 it equals about 89.9999999.....8

2008-02-07 18:58:45

#22

SenorToenails: Veritas et Scientia; +444|6139|North Tonawanda, NY

bf2gammer wrote:
I have the following to back it up....

1/3 = 0.3(repeater) correct? correct.

2/3 = 0.6(repeater) correct? correct.

3/3 = 0.9(repeater) correct? exactly.

As you can see i have followed a pattern, thus we know 3/3 = 1, but alas, why not 0.9(repeater)?

tell me how 3/3 = .9999999999 (REPEATING)? 3 divided by 3 = 1 .. and how can .999999 repeating be 1 when .9999 repeating is .9999 repeating?

it cant be equal to 1 without doing something to the number. so what ur saying is 1 billion is equal to 1 million, just divide it by 100? no it is not equal

-------------------------------

and if you dont get what im trying to get at...

no matter what you do.. .999 repeating will not equal 1. in order for it to equal 1 you have to change the "NUMBER .999 repeating"

and what i mean by change it is, you have to subtract, multiply, divide, or add a number. whatever. to get it to equal 1

No. It is a mathematical fact that 1/2 = .4999999.... = .5, or 1 = .99999.....

Someone already said why. I suggest you read up on Decimal Representation.

2008-02-07 19:36:28

#23

Ganko_06: Laughter with an S; +167|6653|Camoran's Paradise

Vilham wrote:
Ganko_06 wrote:
tazz. wrote:
So we can do the following.....

10x = 9.999999999.........(repeater) (subtract)
x = 0.999999999.........(repeater)

9x = 9.000000000
Actually, that does not work. You didn't subtract, you multiplied.

9*x = 9x
9*9.999... = 8.999... not 9.000
Seriously... work on your maths... 9 * 9.999... does not equal 8.999 it equals about 89.9999999.....8

Decimal in the wrong spot. Fixed.

2008-02-07 20:02:40

#24

Hakei: Banned; +295|6004

Vilham wrote:
Indeed it does. Btw REOCCURRING not repeater.

I always thought it was 'recurring'.

Also; if this statement is true then please explain this.

If 1=0.999... Then:

1-0.999... = 0.
0 = (1/10)*(1/10)*(1/10)...
1-0.999 = 1-(0.9)-(0.09)-(0.009) Which is equal to 1/10/10... = (1/10)*(1/10)*(1/10)...

So now we know that 0 is equals to (1/10)*(1/10)*(1/10)...

We can say that 1/10^N=0
So...

0x10^n = 1
0 = 1.

2008-02-07 20:40:50

#25

SenorToenails: Veritas et Scientia; +444|6139|North Tonawanda, NY

Hakei wrote:
Vilham wrote:
Indeed it does. Btw REOCCURRING not repeater.
I always thought it was 'recurring'.

Also; if this statement is true then please explain this.

If 1=0.999... Then:

1-0.999... = 0.
0 = (1/10)*(1/10)*(1/10)...
1-0.999 = 1-(0.9)-(0.09)-(0.009) Which is equal to 1/10/10... = (1/10)*(1/10)*(1/10)...

So now we know that 0 is equals to (1/10)*(1/10)*(1/10)...

We can say that 1/10^N=0
So...

0x10^n = 1
0 = 1.

Honestly, I don't have any idea of what you are doing here, but zero times anything is zero.

BF2S Forums Does 0.9 Repeater = 1?

Varegg wrote:

tazz. wrote:

Varegg wrote:

Varegg wrote:

tazz. wrote:

Varegg wrote:

tazz. wrote:

Varegg wrote:

tazz. wrote:

some_random_panda wrote:

Varegg wrote:

tazz. wrote:

Varegg wrote:

djphetal wrote:

some_random_panda wrote:

Gamematt wrote:

tazz. wrote:

Ganko_06 wrote:

tazz. wrote:

bf2gammer wrote:

Vilham wrote:

Ganko_06 wrote:

tazz. wrote:

Vilham wrote:

Hakei wrote:

Vilham wrote:

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